Some 75 people, including children, are said to have died when the Syrian regime used chlorine gas and another nerve agent in Douma last Saturday.
The legal basis would have to be self defence or the authority of the UN Security Council.
Corbyn sent a letter to British Prime Minister Theresa May Saturday criticizing her decision to join the coordinated unilateral attack before worldwide inspectors even had the chance to begin their probe into the alleged chemical attack by the Syrian government.
Mr Corbyn said the alleged chemical attack in Douma was "disgraceful", but added: "There has to be a political solution".
"I think what we need in this country is something more robust like a War Powers Act so that governments do get held to account by Parliament for what they do in our name". "It's hard work and it takes patience - but surely that is better than the escalation of this conflict".
Asked how the United Kingdom would respond to fresh chemical weapons attacks, he said: "With allies, we would study what the options were".
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Mr Corbyn said the air strikes may have been illegal, despite the government's assertion that it was allowed under global law to take military action to alleviate overwhelming humanitarian suffering.
"Where is the legal basis for this?" he said.
The UK's National Security Adviser, Sir Mark Sedwill, also set out further information about why the Government believed Russian Federation was responsible, saying only it had the "technical means, operational experience and the motive to carry out the attack".
"The government appears to be waiting for instructions from President Donald Trump on how to proceed". I offered my support to any intervention that could prevent a further atrocity, but it is vital that any action forms part of a wider long-term plan for the region.
The Labour leader and his Liberal Democrat counterpart, Vince Cable, are to receive a security briefing from the government on Friday afternoon.
The Labour leader told the BBC's Andrew Marr Show he believed Parliament should have been given a vote on military intervention and that the prime minister had been too keen to "follow Donald Trump's lead".
Mr Johnson added: "If and when such a thing were to happen then clearly, with allies, we would study what the options were".